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使用不同热导率模型对浸没在水中的碳纳米管进行混合对流蠕动流研究。

Mixed convective peristaltic flow of carbon nanotubes submerged in water using different thermal conductivity models.

作者信息

Hayat T, Ahmed Bilal, Abbasi F M, Ahmad B

机构信息

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.

出版信息

Comput Methods Programs Biomed. 2016 Oct;135:141-50. doi: 10.1016/j.cmpb.2016.07.030. Epub 2016 Jul 28.

Abstract

BACKGROUND AND OBJECTIVE

Single Walled Carbon Nanotubes (SWCNTs) are the advanced product of nanotechnology having notable mechanical and physical properties. Peristalsis of SWCNTs suspended in water through an asymmetric channel is examined. Such mechanism is studied in the presence of viscous dissipation, velocity slip, mixed convection, temperature jump and heat generation/absorption.

METHODS

Mathematical modeling is carried out under the low Reynolds number and long wavelength approximation. Resulting nonlinear system is solved using the perturbation technique for small Brinkman's number. Physical analysis and comparison of the results in light of three different thermal conductivity models is also provided.

CONCLUSIONS

It is reported that the heat transfer rate at the boundary increases with an increase in the nanotubes volume fraction. The addition of nanotubes affects the pressure gradient during the peristaltic flow. Moreover, the maximum velocity of the fluid decreases due to addition of the nanotubes.

摘要

背景与目的

单壁碳纳米管(SWCNTs)是纳米技术的先进产物,具有显著的机械和物理性能。研究了悬浮在水中的单壁碳纳米管通过不对称通道的蠕动情况。在存在粘性耗散、速度滑移、混合对流、温度跳跃和热生成/吸收的情况下对这种机制进行了研究。

方法

在低雷诺数和长波长近似下进行数学建模。对于小布林克曼数,使用微扰技术求解所得的非线性系统。还根据三种不同的热导率模型对结果进行了物理分析和比较。

结论

据报道,边界处的传热速率随着纳米管体积分数的增加而增加。纳米管的添加会影响蠕动流期间的压力梯度。此外,由于添加了纳米管,流体的最大速度降低。

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